Thread: i dont understand the notations.

can someone help me with this question?
let z = F(x, y) = x^2 -y +1

b)find the functions g(x,y)= f( f(x,y) , y) and h(x,y)= f(x, (f(x,y) )
c)If f(x,y)= f(y,x) and x cannot equal to y
show that y= -x -1

Originally Posted by KQ_jai

can someone help me with this question?
let z = F(x, y) = x^2 -y +1

b)find the functions g(x,y)= f( f(x,y) , y) and h(x,y)= f(x, (f(x,y) )
c)If f(x,y)= f(y,x) and x cannot equal to y
show that y= -x -1

I think it means that for g(x,y) you put x^2 -y +1 in to x
and for h(x,y) you put x^2 -y +1 into the y

a
f( f(x,y) , y)
=


b
f(x,y)= f(y,x)



since x - y is not equal to zero, we can divide equation by x - y